What is factor 56x^4y^3-42x^2y^6 ?

The solution to factor 56x^4y^3-42x^2y^6 is 14x^2y^3(4x^2-3y^3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 56x^4y^3-42x^2y^6

factor

56 x^{4} y^{3} - 42 x^{2} y^{6}

14 x^{2} y^{3} (4 x^{2} - 3 y^{3})

Solution steps

56 x^{4} y^{3} - 42 x^{2} y^{6}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

x^{4} y^{3} = x^{2} x^{2} y^{3}, x^{2} y^{6} = x^{2} y^{3} y^{3}

= 56 x^{2} x^{2} y^{3} - 42 x^{2} y^{3} y^{3}

Rewrite

- 42

3 \cdot 14

Rewrite

56

4 \cdot 14

= 4 \cdot 14 x^{2} x^{2} y^{3} + 3 \cdot 14 x^{2} y^{3} y^{3}

Factor out common term

14 x^{2} y^{3}

= 14 x^{2} y^{3} (4 x^{2} - 3 y^{3})

x^{2} + 9

\frac{2}{3} - \frac{1}{6} \cdot \frac{1}{4}

9 (y + 2) = 63

\frac{9}{2} + a = 4 a + 2

z = \frac{( 2 - 2 i ) ( - 1 + 2 i )}{( 1 - i ) ( 1 + i )}

What is factor 56x^4y^3-42x^2y^6 ?
The solution to factor 56x^4y^3-42x^2y^6 is 14x^2y^3(4x^2-3y^3)